Sweden's first ever female prime minister has resigned just hours after she was appointed.

She said she had told the speaker of parliament she hoped to be appointed prime minister again as the head of a single-party government, a prospect that appeared fairly likely given support from other parties.

Social Democrat Magdalena Andersson stepped down in the wake of the Green Party's decision to quit their two-party coalition due to parliament's rejection of the budget bill devised by the alliance.

"For me, it is about respect, but I also do not want to lead a government where there may be grounds to question its legitimacy," Ms Andersson told a news conference.

"There is a constitutional practice that a coalition government should resign when one party quits," the Social Democrat said on Wednesday.

Her resignation was a shocking twist in a dramatic and historic day in Swedish politics.

Hours earlier, the Swedish parliament had approved Ms Andersson as the country's first female leader after she recently became the head of the ruling Social Democratic Party.

With the budget vote approaching, Ms Andersson had said earlier on Wednesday that she would not resign if she lost, but changed her mind later in the day.

"I have told the speaker that I wish to resign," Ms Andersson told reporters.

Her appointment was initally a notable milestone for Sweden, which has long been viewed as one of Europe's most progressive countries when it comes to gender equality but has yet to have a woman in the top political post.

“ There is something symbolic in this decision. ” Ms Andersson had sought to secure the backing of two other smaller parties that had supported Sweden's previous centre-left, minority government – the Left Party and the Centre Party.

the speaker of parliament will now decide the next move.

magdalena andersson, was announced as leader on wednesday but resigned after her coalition partner quit the government and her budget failed to pass.

Instead, parliament voted for a budget drawn up by the opposition which includes the anti-immigrant far right.

Ms Andersson said that she hoped to try to become prime minister again as a single party government leader.

Before MPs backed Magdalena Andersson, Sweden was the only Nordic state never to have a woman as PM.

The Green Party said it would support her in any new confirmation vote in parliament, while the Centre Party promised to abstain, which effectively amounts to the same as backing her candidacy.

"we will make sure, again, that sweden democrats."

The fact that it has taken this long for Sweden to get a woman prime minister is considered embarrassing for many in a country that introduced universal suffrage 100 years ago and has long championed gender equality.

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